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Finding the Fourth Proportional to 874.26, 1,310.13 and 380.07

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Solution

The fourth proportional to 874.26, 1,310.13 and 380.07 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.26 : 1,310.13 = 380.07 : x
  2. Step 2: Convert to fraction form
    874.26/1,310.13 = 380.07/x
  3. Step 3: Cross multiply
    874.26x = 1,310.13 × 380.07
  4. Step 4: Simplify right side
    874.26x = 497,941.11
  5. Step 5: Solve for x
    x = 497,941.11/874.26
  6. Step 6: Final answer
    x = 569.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.